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Finding the Third Proportional to 202,659,738 and 410,958,753

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Solution

The third proportional to 202,659,738 and 410,958,753 is: 833,352,980.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,659,738 : 410,958,753 = 410,958,753 : x
  2. Step 2: Convert to fraction form
    202,659,738/410,958,753 = 410,958,753/x
  3. Step 3: Cross multiply
    202,659,738x = 410,958,753 × 410,958,753
  4. Step 4: Simplify right side
    202,659,738x = 168,887,096,667,315,008
  5. Step 5: Solve for x
    x = 168,887,096,667,315,008/202,659,738
  6. Step 6: Final answer
    x = 833,352,980.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.